A0.40-kg mass attached to the end of a string swings in a vertical circle having a radius of 1.8 m. at an instant when the string makes an angle of 40 degrees below the horizontal, the speed of the mass is 5.0 m/s. what is the magnitude of the tension in the string at this instant? a. 9.5 n b. 3.0 n c. 8.1 n d. 5.6 n e. 4.7 n

In what direction does the medium move relative to the direction of the wave? explain.

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

Ascientific blank must be testable and capable of being proven false?